Quantum dimer models

By Roderich Moessner, K. Raman. 2008

137 citations recorded by the source corpus.

These lecture notes aim to provide a self-contained, pedagogical introduction to the physics of local constraints, fractionalisation and topological liquids organised around the Rokhsar-Kivelson quantum dimer model. Topics and phenomena covered include emergent photons, SU(2) invariant spin liquids, valence-bond solids and Cantor deconfinement, along with an elementary introduction to the underlying theoretical models and methods.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/248463b55fccfbf1091a20f05930560d6a8e7529

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Mikhail D. Lukin
2. Peter Zoller
3. Marcello Dalmonte
4. V. Vuleti'c
5. M. Endres
6. Soonwon Choi
7. Roderich Moessner
8. M. Greiner

In Geometry and Topology

1. M. Endres
2. Peter Zoller
3. Marcello Dalmonte

Citations in the corpus

• Quantum spin-ice and dimer models with Rydberg atoms (2014, background): “Having enforced the ice rule, the natural degree of freedom is thence an emergent gauge field a—it is in this way that gauge fields quite generically emerge in condensed matter physics, with a constraint arising either from the need to satisfy a dominant term in the Hamiltonian or from a microscopic”
• Probing many-body dynamics on a 51-atom quantum simulator (2017, background): “Instead, our observations are associated with constrained dynamics due to Rydberg blockade and large separations of timescales Vi,i+1 Ω Vi,i+2 [S8], which gives rise to so-called quantum dimer models, with the Hilbert space dimension determined by the golden ratio ∼ (1 + √ 5)/2 , that are known to p”